2145205134144 has 84 divisors (see below), whose sum is σ = 6472466547040. Its totient is φ = 677433196800.

The previous prime is 2145205134131. The next prime is 2145205134169. The reversal of 2145205134144 is 4414315025412.

2145205134144 is a `hidden beast` number, since 2 + 1 + 4 + 520 + 51 + 3 + 41 + 44 = 666.

It is a super-3 number, since 3×2145205134144³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2145205134099 and 2145205134108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97997332 + ... + 98019219.

Almost surely, 2^{2145205134144} is an apocalyptic number.

2145205134144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2145205134144 is an abundant number, since it is smaller than the sum of its proper divisors (4327261412896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2145205134144 is a wasteful number, since it uses less digits than its factorization.

2145205134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196016588 (or 196016575 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 2145205134144 in words is "two trillion, one hundred forty-five billion, two hundred five million, one hundred thirty-four thousand, one hundred forty-four".